SSC CGL 2019 PYQ — Question 75

SSC CGL - 6th June 2019 - Shift 3 • Quantitative Aptitude • Q75

If a + 1/a = 3, then (a4 + 1/a4) is equal to:

Show answer & explanation

Correct answer: C

Explanation

Correct answer is Option 3 i.e. 47

a2 + 1/a2 = (a + 1/a)2 – 2

a + 1/a = 3

⇒ a2 + 1/a2 = 32 – 2 = 7

⇒ a4 + 1/a4 = 72 – 2 = 47